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Finding the Fourth Proportional to 9,809.67, 13,538.48 and 5,830.75

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Solution

The fourth proportional to 9,809.67, 13,538.48 and 5,830.75 is: 8,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.67 : 13,538.48 = 5,830.75 : x
  2. Step 2: Convert to fraction form
    9,809.67/13,538.48 = 5,830.75/x
  3. Step 3: Cross multiply
    9,809.67x = 13,538.48 × 5,830.75
  4. Step 4: Simplify right side
    9,809.67x = 78,939,492.26
  5. Step 5: Solve for x
    x = 78,939,492.26/9,809.67
  6. Step 6: Final answer
    x = 8,047.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.